论文标题
关于全球对称和$ 5D $ scfts的评论
Comments on Global Symmetries and Anomalies of $5d$ SCFTs
论文作者
论文摘要
我们研究了五维超宪法场理论中全球对称性的各个方面。每当可以使用超对称性的相关变形时，红外量规理论的描述都可能在$ 1 $ form对称性和激体对称性之间表现出有限的订单混合异常。这种异常限制了忠实地作用于SCFT的风味对称组和某些RG流的一致性。作为另一个示例，我们考虑了三维$ \ mathcal {n} = 4 $ sqed的指导性案例。最后，我们讨论了保形不变性与$ 1 $ - 形式的存在与$ 2 $ - 组的全球对称性之间的兼容性。
We study various aspects of global symmetries in five-dimensional superconformal field theories. Whenever a supersymmetry-preserving relevant deformation is available, the infrared gauge theory description might exhibit a finite order mixed 't Hooft anomaly between a $1$-form symmetry and the instantonic symmetry. This anomaly constrains the flavor symmetry group acting faithfully on the SCFT and the consistency of certain RG flows. As an additional example, we consider the instructive case of three-dimensional $\mathcal{N}=4$ SQED. Finally, we discuss the compatibility between conformal invariance and the presence of $1$-form and $2$-group global symmetries.
